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- Obtain the second derivative of the function: y = 2 – 5x4 + 3/2x2Graph the function C=50+0.8Y and give economic interpretations of the elements of the equation.Consider the linear spline function f(x) = 1 + x + h1(x, 2) where h1(x,2) = x-2 if x>2 and 0 otherwise. What is the slope of f at the point x=-1?
- Find the derivative of f(x)=32x3+14x2+2x+1 where x=2 . Select one: a. 24 b. 21 c. 6 d. 18) Find and classify the stationary points of the following function: f (x) = 1. [Specify the 1st and 2nd order conditions.] 1. T-1A rental car company has a special deal on one of the available rentals. Let C be the cost, in dollars, of the rental car as a function of the distance d, in miles, it is driven in one day. A. What would the value C(75) represent in this context? B. Is function Cincreasing or decreasing? What are the units of the slope in this situation? C. Identify any maximum or minimum values of the function. What do they represent in this situation? State any assumptions that you make. D. Would the graph of C have any intercepts? What would they represent in this situation? E. Write a rule for C(d), and sketch a graph of the function.
- 1 1 a) Let A = 1 -1 -1 1 (i) Compute the value of det (A). (ii) For what values of x will the matrix be singular? b) Write down the quadratic form that corresponds to the following matrix. 2 4 2 -1 -3 .4 -3 1Differentiate the function. dy dx y= || 6 X 30Find the inverse of the given function. f(x) = 5x + 4 .... 11 The inverse of the function is f1 (x) = -X. 5 (Simplify your answer. Use integers or fractions for any numbers in the expression.)